50 POINTS Which transformation causes the described change in the graph of the function f(x)=sin(x)? Options for all include sin(x)-7, sin(x)+7, sin(x-7), sin(x+7)
The transformation results in a vertical shift down.
The transformation results in a horizontal shift left.
The transformation results in a vertical shift up.
The transformation results in a horizontal shift right.

The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

Step-by-step explanation:

Transformation:

If f(x) is a function then

f(x)+k is a vertical shift k units upwards.

f(x)-k is vertical shift k units downwards.

f(x-h) is horizontal shift h units rightwards.

f(x+h) is horizontal shift h units leftwards.

So,

The transformation sin(x)-7 results in a vertical shift down.

The transformation sin(x+7) results in a horizontal shift left.

The transformation sin(x)+7 results in a vertical shift up.

The transformation sin(x-7) results in a horizontal shift right.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

it is only things thain can be deafeated

step-by-step explanation: